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Groebner bases for quaternary codes
Publikationstyp
Journal Article
Date Issued
2011
Sprache
English
Author(s)
Institut
Volume
71
Issue
4
Start Page
595
End Page
608
Citation
International Journal of Pure and Applied Mathematics 71 (4): 595-608 (2011)
Scopus ID
Publisher
Academic Publications
A linear code can be described by a binomial ideal in a polynomial ring, given as the sum of a toric ideal and a nonprime ideal. A Groebner basis for such an ideal can be read off from a systematic generator matrix for the corresponding code. In this paper, an analogue result will be presented for quaternary codes. © 2011 Academic Publications, Ltd.
Subjects
Binomial ideal
Groebner basis
Linear code
Nonprime ideal
Polynomial ring
Quaternary codes
Toric ideal
DDC Class
510: Mathematik